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Simplifying 12 + 5v = -2v + -9 Reorder the terms: 12 + 5v = -9 + -2v Solving 12 + 5v = -9 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + 5v + 2v = -9 + -2v + 2v Combine like terms: 5v + 2v = 7v 12 + 7v = -9 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 7v = -9 + 0 12 + 7v = -9 Add '-12' to each side of the equation. 12 + -12 + 7v = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 7v = -9 + -12 7v = -9 + -12 Combine like terms: -9 + -12 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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